Geometric Theory of Columnar Phases on Curved Substrates
Geometric Theory of Columnar Phases on Curved Substrates
We study thin self-assembled columns constrained to lie on a curved, rigid substrate. The curvature presents no local obstruction to equally spaced columns in contrast with curved crystals for which the crystalline bonds are frustrated. Instead, the vanishing compressional strain of the columns implies that their normals lie on geodesics …